On the magnitude of spheres, surfaces and other homogeneous spaces
Geometriae Dedicata (2013).
On the asymptotic magnitude of subsets of Euclidean space (with Tom Leinster)
Geometriae Dedicata (2012).
- The Mukai pairing, I: a categorical approach
New York Journal of Mathematics 16 (2010) 61-98.
- On the Rozansky-Witten weight systems
Algebraic & Geometric Topology 10 (2010) 1455-1519. math.DG/0602653.
See also Justin Roberts' talk.
- A diagrammatic approach to Hopf monads
[For less wide typesetting style see arXiv version.]
Arabian Journal of Science and Engineering C - Theme Issue "Interactions of algebraic and coalgebraic structures
(theory and applications)" December 2008; Vol. 33, Number 2C
The twisted Drinfeld double of a finite group via gerbes and finite groupoids
Algebraic & Geometric Topology 8 (2008) 1419-1457
Gerbes and Homotopy Quantum Field Theories (with U.Bunke and P.Turner)
Algebr. Geom. Topol. 4 (2004) 407-437
- Homotopy quantum field
theories and related ideas (with M.Brightwell and P.Turner)
J. Modern Phys. A 18 Supplement (2003) 115-122.
An almost-integral universal Vassiliev invariant of knots
and Geometric Topology 2 (2002) paper no. 29, 649-664
On the first two Vassiliev invariants,
- Free groups and finite type invariants
of pure braids (with J.Mostovoy)
Math. Proc. Camb. Phil. Soc. 132
The Kontsevich integral and algebraic structures on the space of diagrams,
Knots in Hellas '98, Series on Knots and Everything vol 24, World Scientific,
- Vassiliev invariants
Knot Theory, Banach Centre Publications 42
- A combinatorial half-integration from weight system to
Vassiliev knot invariant,
J. Knot Theory Ramifications, 7
no. 4 (1998) 519-526.
- Vassiliev invariants and the Hopf algebra of chord diagrams,
Proc. Camb. Phil. Soc., 119 (1996) 55-65.
- On the Vassiliev invariants for knots and for pure braids,
(official abstract) Edinburgh University PhD Thesis,
July 1997. This contains material from the above papers together with
ideas on the relationship between Vassiliev invariants for pure braids
and de Rham homotopy theory.
- Vassiliev invariants for knots,
Essay for Part III of the Cambridge
Mathematical Tripos, May 1993. A survey of Bar-Natan's paper On the
Vassiliev knot invariants, which contained some additional work
of my own.